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Finding the Third Proportional to 42,956 and 66,488

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Solution

The third proportional to 42,956 and 66,488 is: 102,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,956 : 66,488 = 66,488 : x
  2. Step 2: Convert to fraction form
    42,956/66,488 = 66,488/x
  3. Step 3: Cross multiply
    42,956x = 66,488 × 66,488
  4. Step 4: Simplify right side
    42,956x = 4,420,654,144
  5. Step 5: Solve for x
    x = 4,420,654,144/42,956
  6. Step 6: Final answer
    x = 102,911.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.